Home
Class 10
MATHS
If (3x-4y) prop sqrt(xy) then show that ...

If `(3x-4y) prop sqrt(xy)` then show that `(x^2+y^2) prop xy`.

Promotional Banner

Topper's Solved these Questions

  • Sphere

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos

  • Statistics : Mean, Median, Ogive, Mode

    UNITED BOOK HOUSE|Exercise Exercise |29 Videos

Similar Questions

Explore conceptually related problems

If ax+by prop sqrt(xy) , then show that (ax)^2+(by)^2 prop xy ,

If (x+y) prop (x-y), then prove that (x^(2)+y^(2)) prop xy .

If (x+y) prop (x-y) , then show that (x^(3) +y^(3)) prop (x^(3)-y^(3)) .

If ((1)/(x)-(1)/(y))prop1/(x-y) ,then show that (x^2 + y^2)propxy .

If (x^3 -y^3) prop (x^3 +y^3) then prove that (x - y) prop ( x + y)

If (x+y) prop (x-y) , then prove that (ax +by) prop (px+qy) where a ,b ,p, q are non -zero variation constant.

if (px^3+qy^3) prop (ax^3+by^3) ,then show that x prop y

If x prop (1)/sqrt(a) , then a prop

If x prop y and y prop z, then show that (x^m+y^m+z^m) prop (x^3y^(m-3) +y^3z^(m-3)=z^3x^(m-3)) (m = constant)

If (x^(3)+y^(3) )prop (x^(3)-y^(3)) , then prove that (x+y) prop (x-y).

UNITED BOOK HOUSE-SPRINGDALE HIGH SCHOOL-EXERCISE
  1. Ajay has written a two digit number in his copy of which the tens digi...

    Text Solution

    |

  2. Simplify : (sqrt5+sqrt3)((3sqrt3)/(sqrt5+sqrt2)-sqrt5/(sqrt3+sqrt2))

    Text Solution

    |

  3. If (3x-4y) prop sqrt(xy) then show that (x^2+y^2) prop xy.

    Text Solution

    |

  4. Using the properties of proportion, solve for x, given (x^4+1)/(2x^2)=...

    Text Solution

    |

  5. (bz+cy)/a=(cx+az)/b=(ay+bx)/c then prove x/(a(b^2+c^2-a^2))=y/(b(c^2+a...

    Text Solution

    |

  6. Prove that the front angle formed at the centre of a circle by an arc,...

    Text Solution

    |

  7. State and Prove Pythagoras theorem.

    Text Solution

    |

  8. Prove that "The greatest chord of circle is its diameter".

    Text Solution

    |

  9. Prove that cyclic trapezium is isoscles trapezium and the length of it...

    Text Solution

    |

  10. Geometrically calculate the value of sqrt(23). (Only traces of constru...

    Text Solution

    |

  11. Draw a right angled triangle length of hypotenuse and one of another s...

    Text Solution

    |

  12. The angles of a triangle are x^@,(x+y)^@ and (x+2y)^@. The ratio of nu...

    Text Solution

    |

  13. If (1+sinA)( 1+sinB)(1+sinC) = (1-sinA)(1-sinB)(1-sinC), then prove th...

    Text Solution

    |

  14. Find value of ((tan20^@)/(cosec 70^@))^2+((cot20^@)/(sec70^@))^2+2tan1...

    Text Solution

    |

  15. If the angle of elevation of the top of a Monument when observed form ...

    Text Solution

    |

  16. The shadow of a flagstaff is three times as long as the shadow of the ...

    Text Solution

    |

  17. Half of the total surface area of a rectangular parallelopiped is equa...

    Text Solution

    |

  18. If two solid spheres with the radii of 1 cm and 6 cm lengths are melte...

    Text Solution

    |

  19. If a wooden log with a shape of rectangular parallelopiped with square...

    Text Solution

    |

  20. The mean monthly salary of all employees in a company is Rs, 6000. Th...

    Text Solution

    |